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Finding the Fourth Proportional to 133.70, 184.59 and 83.96

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Solution

The fourth proportional to 133.70, 184.59 and 83.96 is: 115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.70 : 184.59 = 83.96 : x
  2. Step 2: Convert to fraction form
    133.70/184.59 = 83.96/x
  3. Step 3: Cross multiply
    133.70x = 184.59 × 83.96
  4. Step 4: Simplify right side
    133.70x = 15,498.18
  5. Step 5: Solve for x
    x = 15,498.18/133.70
  6. Step 6: Final answer
    x = 115.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.